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102321 = 3211369
BaseRepresentation
bin11000111110110001
312012100200
4120332301
511233241
62105413
7604212
oct307661
9165320
10102321
116a96a
124b269
133775b
1429409
15204b6
hex18fb1

102321 has 6 divisors (see below), whose sum is σ = 147810. Its totient is φ = 68208.

The previous prime is 102317. The next prime is 102329. The reversal of 102321 is 123201.

Adding to 102321 its reverse (123201), we get a palindrome (225522).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 12321 = 300^2 + 111^2 .

It is not a de Polignac number, because 102321 - 22 = 102317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11369 = 102321 / (1 + 0 + 2 + 3 + 2 + 1).

102321 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5676 + ... + 5693.

It is an arithmetic number, because the mean of its divisors is an integer number (24635).

2102321 is an apocalyptic number.

It is an amenable number.

102321 is a deficient number, since it is larger than the sum of its proper divisors (45489).

102321 is a wasteful number, since it uses less digits than its factorization.

102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11375 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102321 is about 319.8765386833. The cubic root of 102321 is about 46.7722496015.

The spelling of 102321 in words is "one hundred two thousand, three hundred twenty-one", and thus it is an iban number.

Divisors: 1 3 9 11369 34107 102321